Publication Date:
May 2009
Journal:
JOURNAL OF HIGH ENERGY PHYSICS
Last Updated:
2021-03-01T08:02:03.753+00:00
Issue:
5
Volume:
2009
DOI:
10.1088/1126-6708/2009/05/038
abstract:
We systematically analyze backgrounds that are holographic duals to non-relativistic CFTs, by constructing them as cosets of the Schrödinger group and variants thereof. These cosets G/H are generically non-reductive and we discuss in generality how a metric on such spaces can be determined from a non-degenerate H-invariant symmetric two-form. Applying this to the d = 2 Schrödinger algebra, we reproduce the five-dimensional backgrounds proposed as duals of fermions at unitarity, and under reasonable physical assumptions, we demonstrate uniqueness of this background. The proposed gravity dual of the Lifshitz fixed-point, for which Galileian symmetry is absent, also fits into this organizational scheme and uniqueness of this background can also be shown. © 2009 SISSA.
Symplectic id:
645338
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Submitted to ORA:
Not Submitted
Publication Type:
Journal Article